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Finding the Third Proportional to 932,720 and 1,368,460

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Solution

The third proportional to 932,720 and 1,368,460 is: 2,007,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,720 : 1,368,460 = 1,368,460 : x
  2. Step 2: Convert to fraction form
    932,720/1,368,460 = 1,368,460/x
  3. Step 3: Cross multiply
    932,720x = 1,368,460 × 1,368,460
  4. Step 4: Simplify right side
    932,720x = 1,872,682,771,600
  5. Step 5: Solve for x
    x = 1,872,682,771,600/932,720
  6. Step 6: Final answer
    x = 2,007,765.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.